Canonical surfaces associated with projectors in Grassmannian sigma models

DOI10.1063/1.3486690zbMath1314.58007arXiv1002.2690OpenAlexW3102692660MaRDI QIDQ5253977

İsmet Yurduşen, Véronique Hussin, Wojciech J. Zakrzewski

Publication date: 5 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2690

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)

Related Items (5)

Constant curvature solutions of Grassmannian sigma models. II: Non-holomorphic solutions ⋮ Explicit examples of constant curvature surfaces in the supersymmetric ${C}P^{2}$ sigma model ⋮ Constant curvature surfaces of the supersymmetric ℂP N−1 sigma model ⋮ General solutions of the supersymmetric ℂP2 sigma model and its generalisation to ℂP N−1 ⋮ Unifying geometrical representations of gauge theory

Cites Work

• Unnamed Item
• SusyCP^N−1model and surfaces in
• Surfaces in RN2−1 based on harmonic maps S2→CPN−1
• On analytic descriptions of two-dimensional surfaces associated with the {\bb C} P^{N-1} sigma model
• Constant mean curvature surfaces via an integrable dynamical system
• The Weierstrass–Enneper system for constant mean curvature surfaces and the completely integrable sigma model
• Induced Surfaces and Their Integrable Dynamics Ii. Generalized Weierstrass Representations in 4‐d Spaces and Deformations via Ds Hierarchy
• CP N−1 harmonic maps and the Weierstrass problem
• Induced Surfaces and Their Integrable Dynamics
• Conformally parametrized surfaces associated with {\protect\bb C} P^{N-1} sigma models
• Surfaces immersed in Lie algebras obtained from the sigma models

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